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Finding the Fourth Proportional to 505.41, 758.11 and 231.49

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Solution

The fourth proportional to 505.41, 758.11 and 231.49 is: 347.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.41 : 758.11 = 231.49 : x
  2. Step 2: Convert to fraction form
    505.41/758.11 = 231.49/x
  3. Step 3: Cross multiply
    505.41x = 758.11 × 231.49
  4. Step 4: Simplify right side
    505.41x = 175,494.88
  5. Step 5: Solve for x
    x = 175,494.88/505.41
  6. Step 6: Final answer
    x = 347.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.